11100000100113 has 40 divisors (see below), whose sum is σ = 16611371865000. Its totient is φ = 7386665045760.

The previous prime is 11100000100051. The next prime is 11100000100121. The reversal of 11100000100113 is 31100100000111.

It can be written as a sum of positive squares in 4 ways, for example, as 457972967169 + 10642027132944 = 676737^2 + 3262212^2 .

It is not a de Polignac number, because 11100000100113 - 2²⁹ = 11099463229201 is a prime.

It is a super-2 number, since 2×11100000100113² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11100000100095 and 11100000100104.

It is not an unprimeable number, because it can be changed into a prime (11100000100183) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328881763 + ... + 328915511.

It is an arithmetic number, because the mean of its divisors is an integer number (415284296625).

Almost surely, 2^{11100000100113} is an apocalyptic number.

It is an amenable number.

11100000100113 is a deficient number, since it is larger than the sum of its proper divisors (5511371764887).

11100000100113 is an equidigital number, since it uses as much as digits as its factorization.

11100000100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40959 (or 40950 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11100000100113 its reverse (31100100000111), we get a palindrome (42200100100224).

The spelling of 11100000100113 in words is "eleven trillion, one hundred billion, one hundred thousand, one hundred thirteen".